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42563052 = 22327168901
BaseRepresentation
bin1010001001011…
…1010111101100
32222002102112100
42202113113230
541344004202
64120135100
71024531350
oct242272754
988072470
1042563052
1122031284
1212307490
138a8334c
14591d460
153b0b41c
hex28975ec

42563052 has 36 divisors (see below), whose sum is σ = 122960656. Its totient is φ = 12160800.

The previous prime is 42563047. The next prime is 42563057. The reversal of 42563052 is 25036524.

42563052 is a `hidden beast` number, since 4 + 25 + 630 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42563047) and next prime (42563057).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×425630522 = 3623226791109408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42563057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84199 + ... + 84702.

Almost surely, 242563052 is an apocalyptic number.

42563052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42563052 is an abundant number, since it is smaller than the sum of its proper divisors (80397604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42563052 is a wasteful number, since it uses less digits than its factorization.

42563052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168918 (or 168913 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42563052 is about 6524.0364805847. The cubic root of 42563052 is about 349.1490948969.

Adding to 42563052 its reverse (25036524), we get a palindrome (67599576).

The spelling of 42563052 in words is "forty-two million, five hundred sixty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 168901 337802 506703 675604 1013406 1182307 1520109 2026812 2364614 3040218 3546921 4729228 6080436 7093842 10640763 14187684 21281526 42563052